x^2y+y^'=-3x^2

Lösung

x^{2} y + y^{^{'}} = - 3 x^{2}

y = e^{- \frac{x ^{3}}{3} + c_{1}} - 3

Schritte zur Lösung

x^{2} y + y^{'} (x) = - 3 x^{2}

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + c_{1}} - 3

y = e^{- \frac{x ^{3}}{3} + c_{1}} - 3

t an g e n t f (x) = 1 + 4 x, at x = 2

x \to c lim (x^{3} + 4 x^{2} - 3)

\int_{0}^{1} (3 + 2 x^{2}) d x

d er i v a t i v e \frac{- x ^{2} - 7}{( x ^{2} - 7 ) ^{2}}

\int \frac{3 x ^{2}}{( 2 x ^{3} - 4 ) ^{2}} d x